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ohaa [14]
3 years ago
8

Determine whether the given event is independent or dependent. Then find the probability. There are 3 literature books, 4 geogra

phy books, and 3 science books on a shelf. If 3 books are chosen at random one after the other, what is the probability that a literature book, a geography book, and a science book are selected if replacement does not take place?
Mathematics
1 answer:
Ostrovityanka [42]3 years ago
8 0
This is an independent event because picking on book at random has nothing to do with picking the next book at random. The probability is 1/7
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Jared made 12 3/4 cups of snack mix for a party.His guests eat 2/3 of the mix.How manysnack mix did his guest eat?
Fantom [35]

Answer:

<h3>The number of snacks did Jared's guest eat is 12\frac{1}{12}</h3>

Step-by-step explanation:

Given that Jared made 12\frac{3}{4} cups of snack mix for a party.

Let x be the cups of snacks mix made by Jared.

Therefore  x=12\frac{3}{4}

His guests eat \frac{2}{3} of the mix.

Let y be the guest eated snacks mix

Therefore y=\frac{2}{3}

<h3>To find how many snack mix did his guest eat :</h3>

Let z be the number of snacks did Jared's guest eat

Therefore z=x-y

z=12\frac{3}{4}-\frac{2}{3}

=\frac{51}{4}-\frac{2}{3}

=\frac{51(3)-2(4)}{4\times 3}

=\frac{153-8}{12}

=\frac{145}{12}

=12\frac{1}{12}

Therefore z=12\frac{1}{12}

<h3>Therefore the number of snacks did Jared's guest eat is 12\frac{1}{12}</h3>
5 0
4 years ago
What is the standard form of 5x^2+5y^2-10x+20y-30=0
o-na [289]

5x^2+5y^2-10x+20y-30=0

We need to get the equation in square form

We apply completing the square method

5x^2-10x+5y^2+20y-30=0

Divide all the terms by 5

x^2-2x+y^2+4y-6=0

Group x  terms and y terms separately  

(x^2-2x)+(y^2+4y)-6=0

By completing the square method, we take half of coefficient of x  and square it

\frac{-2}{2} = -1

square it (-1)^2= 1

Add 1 on both sides

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\frac{4}{2} = 2

square it (2)^2= 4

Add 4 on both sides

(x^2-2x+1)+(y^2+4y+4)-6=0+1+4

Add 6 on both sides

(x^2-2x+1)+(y^2+4y+4)=6+1+4

Now factor both parenthesis

(x-1)^2+(y+2)^2=11

The equation of the circle is (x-1)^2+(y+2)^2=11

7 0
4 years ago
A 30 ft wire stretches from the top of a light pole diagonally to the ground. The light pole is 10 feet high. What is the angle
suter [353]

Answer:

The correct answere would be 19 degrees after solving for the length of the wire plus the diagnal of the ground.

Step-by-step explanation:

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0 + 62 = 62
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balu736 [363]

Answer:

12

Step-by-step explanation:

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